A statistics professor believes that there is a relationship between the number of missed classes and the grade on his midterm test. After examining his records, he produced the following table of joint probabilities.

Student Fails Student Passes the Test the Test Student misses fewer than 5 classes .02 .86 Student misses 5 or more classes .09 .03

a. What is the pass rate on the midterm test?

b. What proportion of students who miss five or more classes passes the midterm test?

c. What proportion of students who miss fewer than five classes passes the midterm test?

d. Are the events independent?